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Finding the Fourth Proportional to 655.30, 904.08 and 489.61

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Solution

The fourth proportional to 655.30, 904.08 and 489.61 is: 675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.30 : 904.08 = 489.61 : x
  2. Step 2: Convert to fraction form
    655.30/904.08 = 489.61/x
  3. Step 3: Cross multiply
    655.30x = 904.08 × 489.61
  4. Step 4: Simplify right side
    655.30x = 442,646.61
  5. Step 5: Solve for x
    x = 442,646.61/655.30
  6. Step 6: Final answer
    x = 675.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.